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Linear Death-Migration Models

  • James H. Matis
  • Thomas R. Kiffe
Chapter
Part of the Lecture Notes in Statistics book series (LNS, volume 145)

Abstract

Consider now modeling n populations connected by linear migration, with each population having both immigration and death events occurring at linear rates. Specifically, the assumptions for unit changes in this linear system fromt to t + Δt, using the general formulation in (9.3) and (9.4), would be:
  1. 1

    Prob#x007B;X, will increase by 1 due to immigration} = I i Δt

     
  2. 2

    Prob#x007B;Xi will decrease by 1 due to death} = μ i X i Δt

     
  3. 3

    Prob{Xi will increase by 1 and X; will decrease by 1 due to migration} = k ij X j Δt, for ij.

     

Keywords

Hazard Rate Mean Residence Time Kolmogorov Equation Erlang Distribution Occupancy Probability 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York, Inc. 2000

Authors and Affiliations

  • James H. Matis
    • 1
  • Thomas R. Kiffe
    • 2
  1. 1.Department of StatisticsTexas A&M UniversityCollege StationUSA
  2. 2.Department of MathematicsTexas A&M UniversityCollege StationUSA

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